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MIP1501 assignment 4 2024 (Full solutions)
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- University Of South Africa (Unisa)
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MIP1501 ASSIGNMENT 4 2024Unique Number: 835443
DUE DATE: : 18 August 2024
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PREVIEW
Question 1: Understanding Numbers and Absolute Values for Intermediate Phase
Learners
1.1 Real vs. Non-Real Numbers
To explain the difference between real and non-real numbers to an Intermediate Phase
learner, we start by defining what numbers are generally. Numbers are symbols or words
used to represent a quantity or an amount. Real numbers are numbers that can be found
on the number line. These include all the numbers we usually use in daily life, such as
whole numbers, fractions, decimals, and negative numbers.
Real numbers can be divided into two categories:
Rational numbers: These are numbers that can be expressed as fractions, where
both the numerator and the denominator are integers (whole numbers), and the
denominator is not zero. For example, 1/2 and 3 are rational numbers.
Irrational numbers: These are numbers that cannot be expressed as simple
fractions. They have non-repeating, non-terminating decimal expansions.
Examples include the square root of 2 (√2) and pi (π).
On the other hand, non-real numbers are numbers that do not have a place on the
standard number line. They are also known as imaginary numbers. The most basic non-
real number is the square root of a negative number. For example, the square root of -1
is denoted as "i," and it is not a real number because no real number squared equals -1.
Examples:
Real numbers: 5, -3, 2.5
Non-real numbers: √-1 (i), √-9 (3i)
Disclaimer
Extreme care has been used to create this document, however the contents are provided “as is”
without any representations or warranties, express or implied. The author assumes no liability as
a result of reliance and use of the contents of this document. This document is to be used for
comparison, research and reference purposes ONLY. No part of this document may be
reproduced, resold or transmitted in any form or by any means.
, 0688120934
Question 1: Understanding Numbers and Absolute Values for Intermediate Phase
Learners
1.1 Real vs. Non-Real Numbers
To explain the difference between real and non-real numbers to an Intermediate Phase
learner, we start by defining what numbers are generally. Numbers are symbols or words
used to represent a quantity or an amount. Real numbers are numbers that can be found
on the number line. These include all the numbers we usually use in daily life, such as
whole numbers, fractions, decimals, and negative numbers.
Real numbers can be divided into two categories:
Rational numbers: These are numbers that can be expressed as fractions, where
both the numerator and the denominator are integers (whole numbers), and the
denominator is not zero. For example, 1/2 and 3 are rational numbers.
Irrational numbers: These are numbers that cannot be expressed as simple
fractions. They have non-repeating, non-terminating decimal expansions.
Examples include the square root of 2 (√2) and pi (π).
On the other hand, non-real numbers are numbers that do not have a place on the
standard number line. They are also known as imaginary numbers. The most basic non-
real number is the square root of a negative number. For example, the square root of -1
is denoted as "i," and it is not a real number because no real number squared equals -1.
Examples:
Real numbers: 5, -3, 2.5
Non-real numbers: √-1 (i), √-9 (3i)
1.2 Rational vs. Irrational Numbers
Rational and irrational numbers are both types of real numbers. Here’s how they differ:
Rational numbers are numbers that can be written as a fraction, where both the
numerator and the denominator are integers, and the denominator is not zero. These
Disclaimer
Extreme care has been used to create this document, however the contents are provided “as is”
without any representations or warranties, express or implied. The author assumes no liability as
a result of reliance and use of the contents of this document. This document is to be used for
comparison, research and reference purposes ONLY. No part of this document may be
reproduced, resold or transmitted in any form or by any means.
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